Search a number
106213 is a prime number
BaseRepresentation
bin11001111011100101
312101200211
4121323211
511344323
62135421
7621442
oct317345
9171624
10106213
1172888
1251571
1339463
142a9c9
152170d
hex19ee5

106213 has 2 divisors, whose sum is σ = 106214. Its totient is φ = 106212.

The previous prime is 106207. The next prime is 106217. The reversal of 106213 is 312601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74529 + 31684 = 273^2 + 178^2 .

It is an emirp because it is prime and its reverse (312601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106213 - 25 = 106181 is a prime.

It is a super-2 number, since 2×1062132 = 22562402738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106193 and 106202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53106 + 53107.

It is an arithmetic number, because the mean of its divisors is an integer number (53107).

2106213 is an apocalyptic number.

It is an amenable number.

106213 is a deficient number, since it is larger than the sum of its proper divisors (1).

106213 is an equidigital number, since it uses as much as digits as its factorization.

106213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 106213 is about 325.9033599090. The cubic root of 106213 is about 47.3579133504.

Adding to 106213 its reverse (312601), we get a palindrome (418814).

It can be divided in two parts, 106 and 213, that multiplied together give a triangular number (22578 = T212).

The spelling of 106213 in words is "one hundred six thousand, two hundred thirteen".